CRITICAL-BEHAVIOR OF THE 2-DIMENSIONAL EA MODEL WITH A GAUSSIAN BOND DISTRIBUTION

The spin-glass susceptibility of the two-dimensional EA model is investigated by the numerical transfer-matrix method. It is found that the droplet picture gives a fairly good description of the critical behaviour. The critical exponent theta = -1/nu is estimated as theta = -0.48(1), both through finite-size scaling and through the coherent-anomaly method (CAM). The present estimate is consistent with our previous estimate theta = -0.476. These values do not, however, agree with the stiffness-exponent estimate theta(S) through the domain-wall scaling. This disagreement suggests that the assumption theta = theta(S) in the domain-wall scaling does not hold.